Superconducting circular strings on de Sitter space

Details Superconducting circular strings on de Sitter space Superconducting circular strings on de Sitter space

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvd..51.6909b&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 51, Issue 12, 15 June 1995, pp.6909-6916

Mathematics

Dynamical Systems

3

Particle-Theory And Field-Theory Models Of The Early Universe, Extended Classical Solutions, Cosmic Strings, Domain Walls, Texture

Scientific paper

Circular strings on a de Sitter background are considered in two different models of superconducting strings. A geometrical approach to the derivation of the equations of motion is given and applied to these cases. In the cases studied here, the systems reduce to two-dimensional, autonomous Hamiltonian dynamical systems with either one or two free dimensionless parameters. Exploiting the Hamiltonian structure of the second system, which contains the first one as a special case, the complete bifurcation diagram and the corresponding phase portraits are constructed thereby providing a comprehensive understanding of the dynamics of our systems.

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